Pith Number

pith:7ZTPO47Y

pith:1998:7ZTPO47YP4GMVBPDF2OSYVPS4K

not attested not anchored not stored refs pending

On Brillouin Zones

A.C. Rocha, J.J.P. Veerman, M.M. Peixoto, S. Sutherland

arxiv:math/9806154 v1 · 1998-06-29 · math.MG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZTPO47YP4GMVBPDF2OSYVPS4K}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:16:53.859264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe66f773f87f0cca85e32e9d2c55f2e2bd555015df2f992be8fb3dd0e7923da4

Aliases

arxiv: math/9806154 · arxiv_version: math/9806154v1 · doi: 10.48550/arxiv.math/9806154 · pith_short_12: 7ZTPO47YP4GM · pith_short_16: 7ZTPO47YP4GMVBPD · pith_short_8: 7ZTPO47Y

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7ZTPO47YP4GMVBPDF2OSYVPS4K \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fe66f773f87f0cca85e32e9d2c55f2e2bd555015df2f992be8fb3dd0e7923da4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c310255274da315992d04e734a606689cff9681ad7c3e5a4709baf3dcd901642",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "1998-06-29T23:17:43Z",
    "title_canon_sha256": "3c21699e322fca5ab7b3bb255a410ff08f20e0af2df4a14e6b837d5bbea28849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9806154",
    "kind": "arxiv",
    "version": 1
  }
}